水平集法模拟<strong>GH4706</strong>合金动态再结晶过程

水平集法模拟GH4706合金动态再结晶过程

郑德宇, 夏玉峰, 曾扬, 周杰

Dynamic Recrystallization Process Simulation of GH4706 Alloy by Level-Set Method

ZHENG Deyu, XIA Yufeng, ZENG Yang, ZHOU Jie

图4 水平集法耦合位错密度模型模拟动态再结晶(DRX)过程的流程图

Fig.4 Flowchart of dynamic recrystallization (DRX) simulation using level-set method coupled with dislocation density model (L-J represents Laarsaoui-Jonas, LS represents level-set; Ψ_i —the ith level-set function, Δt—time step, M—migration rate of grain boundaries, γ—grain boundary energy, ΔΨ_i —the ith level-set function per unit, α—Taylor factor, µ—material shear modulus, b—Burgers vector, ρ_m—dislocation density of deformed grains, ρ_i —dislocation density of the ith equiaxed grain, $Ψ_{i}^{0}$ —interfaces of the ith level set function per unit; M₀—pre exponential factor, Q_m—activation energy for grain boundary migration, R—gas constant, T—thermodynamic temperature, V—growth rate of grains, $δ (\dot{ε})$ —factors affecting grain boundary migration rate, $⟦E⟧ —$ jump for energy storage of grains; $\dot{ε}$ —strain rate, τ—dislocation line energy, H—hardening parameter, S—softening parameter; ε—strain, H₀—initial hardening parameter, S₀—initial softening parameter, ${\dot{ε}}_{0}$ —calibration constant for strain rate, Q—activation energy, m—strain rate sensitivity coefficient)